Course Language:

English

Course Objectives:

To develop the necessary background for modern analysis courses to follow

Course Content:

Basic concepts about topological spaces and metric spaces. Complete metric spaces, Baire’s theorem, Contracting mapping theorem and its applications. Compact spaces, Arzela-Ascoli Theorem Seperability, second countability, Urysohn's lemma and the Tietze extension theorem, Connected spaces, Weierstrass approximation theorem

Course Methodology:

1: Lecture, 2: Problem Solving

Course Evaluation Methods:

A: Written examination, B: Homework